Maximal Admissible State-Dependent Disturbances for a Candidate Invariant Set
Résumé
There exist many state-dependent locally bounded additive disturbances for which
a given set can be deemed as invariant with respect to a stable linear discrete-time dynamic
system. We introduce the notion of maximal disturbance set which is unique for each system and
candidate invariant set and shares many of the geometric properties of its associated invariant
set. We demonstrate how maximal disturbance sets may be constructed for arbitrary invariant
sets by constructing them from the union of maximal disturbance sets for convex minimal robust
positively invariant sets.
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